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gregori [183]
3 years ago
10

Use f(x)=1/2x and f^-1(x)=2x to solve the problems f^1(-2), f(-4), f(f^-1(-2)?

Mathematics
2 answers:
neonofarm [45]3 years ago
8 0
F^1(-2) = 2(-2) = -4
f(-4) = 1/2 * -4 =  -2

f(f^-1(x)) = x    so answer is  -2
Goshia [24]3 years ago
8 0

Answer:  The required values are

f^{-1}(-2)=-4,~~f(-4)=-2,~~f(f^{-1}(-2))=-2.

Step-by-step explanation:  We are given a function f(x) and its inverse as follows :

f(x)=\dfrac{1}{2}x,\\\\\\f^{-1}(x)=2x.

We are to find the values of f^{-1}(x),~f(-4),~f(f^{-1}(-2)).

The values are evaluated in the following manner :

f^{-1}(-2)=2\times(-2)=-4,\\\\\\f(-4)=\dfrac{1}{2}\times(-4)=-2,\\\\\\f(f^{-1}(-2))=f(-4)=-2.

Thus, the required values are

f^{-1}(-2)=-4,~~f(-4)=-2,~~f(f^{-1}(-2))=-2.

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Juli2301 [7.4K]

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

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=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

4 0
3 years ago
When solving for a variable in an equation, what must be achieved as a final answer?
photoshop1234 [79]

Answer:

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6 0
2 years ago
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abruzzese [7]

Answer:

Jeremy Will have more than just $200 to spend on Christmas presents.

Explanation :

He has a total of $1200.

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He needs to spend $20 a week for entertainment. For 16 weeks that'll be 20*16 = $320 (3)

adding (1) (2) and (3)

We get Jeremy's total spending will be $840. Jeremy has $1200.

1200-840 = $360

So Jeremy will have $360 to spend on Christmas present.

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